Final answer:
To calculate the cubic yards of concrete needed for a circle, first determine its area in square meters, convert to cubic meters assuming a depth, and then to cubic yards using the conversion factor. Without the depth of the concrete, the calculation cannot be completed.
Step-by-step explanation:
To determine how many cubic yards of concrete are required to complete the circle fitting within a square 2 meters on each side, we must first calculate the area of the circle and then convert it into cubic yards. Since the area of the circle must be less than 4 m² (the area of the square it fits within), we use the formula for the area of a circle, A = πr², where r is the radius. Given that the diameter of the square is equal to the side length (2 m), the radius of the circle is half that, which is 1 m.
The area of the circle is thus π×1² = π m². To convert square meters to cubic yards, we must first convert to cubic meters since the question is related to concrete volume, not area. Assuming the concrete is poured to a depth of 1 yard (0.9144 meters), the volume in cubic meters is π×0.9144³. Finally, to convert cubic meters to cubic yards, we use the conversion factor 1 cubic yard = 0.764555 cubic meters. Therefore, we multiply the volume in cubic meters by (1 / 0.764555) to find the volume in cubic yards. Without the depth of the concrete given, it is not possible to complete this calculation.